Following the proposal of Ref. [1]}, [2]}, [3]}, [4]}, we identify the inflaton \(y\)  with the superpartner of
a state mixed with Right-handed neutrinos and look for generating a superpotential of the form \(W_I=M_Iz(y-\lambda y^2)\) , in supergravity units, where \(z\)  is the goldstino superfield, \(M_I\)  the inflation scale and \(\lambda \)  a dimensionless tuneable parameter of order \({\cal O}\left(1\right)\) . Since the scale of inflation is about five orders of magnitude lower than the string scale, \(W_I\)  should be generated at higher (non-renormalisable) order, upon suitable vacuum expectation values (VEVs) of fields that drive the theory `slightly' away from the free-fermionic point. Such VEVs are generated from an anomalous \(U(1)_A\)  which becomes massive by absorbing the imaginary part of the dilaton (dual to the universal axion) that transforms under the abelian gauge transformation cancelling the anomaly [5]}. As a result, the \(U(1)_A\)  D-term is modified by a dilaton dependent constant proportional to the one loop anomaly, imposing non-trivial VEVs for some charged fields in order to satisfy the D-term vanishing condition. These VEVs should also satisfy the F-flatness supersymmetry conditions and they are naturally lower than the string scale by roughly a loop factor.
